W. Aziz, C. J. Christopher,
C. Pantazi, S. Walcher.
NEW 2023-12-01Liouvillian integrability of three dimensional vector fields.
Preprint. December, 2023.
PreprintAbstract
L. Baymout, R. Benterki,
J. Llibre.
NEW 2023-12-01Limit cycles of some families of discontinuous piecewise differential systems separated by a straight line.
Internat. J. Bifur. Chaos Appl. Sci. Engrg., 33(14), 2350166. 2023.
[DOI]Abstract
A. Linero,
V. Mañosa, D. Nieves.
NEW 2023-12-01On the accumulation points of non-periodic orbits of a difference equation of fourth order.
J. Math. Anal. Appl., 531, 127895. 2024.
Abstract
C. J. Christopher, C. Li,
J. Torregrosa.
NEW 2023-11-30Limit Cycles of Differential Equations.
Birkhäuser Cham, 2024.
Link Springer
J. Villadelprat, D. Marín, L. Queiroz.
NEW 2023-11-22The period of the limit cycle bifurcating from a persistent polycycle.
Preprint. June, 2023.
PreprintAbstract
J. Llibre, F. Braun.
NEW 2023-11-19Parallel vector fields and global injectivity in two dimensions.
Preprint. November, 2023.
Abstract
J. Llibre, X. Zhang.
NEW 2023-11-13Periodic orbits and non-existence of C$^1$ first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in R^3.
Preprint. November, 2023.
Abstract
J. Llibre, L. P. Serantola.
NEW 2023-11-13New families of global cubic centers.
Preprint. November, 2023.
Abstract
J. Llibre, J. Yu.
NEW 2023-11-13Periodic orbits and C$^1$ non-integrability of the 3D van der pol-Duffing oscillator system.
Preprint. November, 2023.
Abstract
J. C. Artés.
NEW 2023-11-05Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection.
Qual. Theory Dyn. Syst. 2024 (Published online)
AbstractFull PDF
J. Llibre, C. Valls.
NEW 2023-11-03On the dynamics of the ACDM model of the universe.
Preprint. November, 2023.
Abstract
S. Li, C. Liu,
J. Llibre.
NEW 2023-10-29On the Poincaré-Bendixson index formula for planar piecewise smooth vector fields.
J. Nonlinear Sci., 33(118), . 2023.
[DOI]Abstract
D. Juher,
F. Mañosas,
D. Rojas.
NEW 2023-10-25Characterization of the tree cycles with minimum positive entropy for any period.
Preprint. October, 2023.
PreprintAbstract
J. Llibre, G. Rondon.
NEW 2023-10-17Global centers of a class of cubic polynomial differential systems.
Preprint. October, 2023.
Abstract
J. Llibre, L. Baymout, R. Benterki.
NEW 2023-10-10Bifurcation of limit cycles in a class of discontinuous piecewise differential systems.
Preprint. October, 2023.
Abstract
C. Cufí-Cabré, E. Fontich.
NEW 2023-10-10Invariant manifolds of maps and vector fields with nilpotent parabolic tori.
Preprint. October, 2023.
PreprintAbstract
J. Llibre, T. Salhi.
NEW 2023-10-10Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve $xy=0$ and formed by linear hamiltonian systems.
Preprint. October, 2023.
Abstract
J. Llibre, Y. Zhao, S. Li.
NEW 2023-10-07On the index of an isolated equilibrium point for piecewise polynomial differential systems.
Preprint. October, 2023.
Abstract
J. Llibre, X. Sun.
NEW 2023-10-07Small-amplitude periodic solutions in the jerk equation of arbitrary degree.
Preprint. October, 2023.
Abstract